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Finding the Fourth Proportional to 617.91, 922.52 and 543.51

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Solution

The fourth proportional to 617.91, 922.52 and 543.51 is: 811.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.91 : 922.52 = 543.51 : x
  2. Step 2: Convert to fraction form
    617.91/922.52 = 543.51/x
  3. Step 3: Cross multiply
    617.91x = 922.52 × 543.51
  4. Step 4: Simplify right side
    617.91x = 501,400.20
  5. Step 5: Solve for x
    x = 501,400.20/617.91
  6. Step 6: Final answer
    x = 811.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.